Geodesic
Some applications of the Pascal matrix to the study of numerical methods for differential equations
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 639-651

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane. 
@article{BUMI_2005_8_8B_3_a7,
     author = {Aceto, Lidia},
     title = {Some applications of the {Pascal} matrix to the study of numerical methods for differential equations},
     journal = {Bollettino della Unione matematica italiana},
     pages = {639--651},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {3},
     year = {2005},
     zbl = {1117.65118},
     mrnumber = {MR2182421},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/}
}
TY  - JOUR
AU  - Aceto, Lidia
TI  - Some applications of the Pascal matrix to the study of numerical methods for differential equations
JO  - Bollettino della Unione matematica italiana
PY  - 2005
SP  - 639
EP  - 651
VL  - 8B
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/
LA  - en
ID  - BUMI_2005_8_8B_3_a7
ER  - 
%0 Journal Article
%A Aceto, Lidia
%T Some applications of the Pascal matrix to the study of numerical methods for differential equations
%J Bollettino della Unione matematica italiana
%D 2005
%P 639-651
%V 8B
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/
%G en
%F BUMI_2005_8_8B_3_a7
Aceto, Lidia. Some applications of the Pascal matrix to the study of numerical methods for differential equations. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 639-651. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/